Similarity of subtypes is reflexive, transitive, and antisymmetric at the same universe level #1295
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… same universe level
lowasser
commented
Feb 8, 2025
| @@ -138,27 +161,39 @@ module _ | |||
| pr2 (sim-has-same-elements-subtype P Q s) x = backward-implication (s x) | |||
| ``` | |||
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| ### The containment relation is antisymmetric | |||
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I did some rearranging to keep symmetry and its properties together, but moved it after this section because I need antisymmetry.
That certainly sounds like a good concept. I don't believe we have this formalized, but it is a welcome addition. We already have large binary relations, this should build neatly on top of that. |
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Wait, actually, we have similarity in large posets. That's what you want |
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Maybe there's a name for this sort of thing? "Large equivalence relation" or something?